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On starting conditions for a submerged sink in a fluid
journal contribution
posted on 2023-05-16, 21:49 authored by Lawrence ForbesLawrence Forbes, Hocking, GC, Stokes, TEWithdrawal of a fluid through an isolated line sink (for planar flow) or a point sink (for axi-symmetric flow in three dimensions) is considered. A linearized solution is presented in both cases, under the assumption that the sink strength is small and the sink is turned on gradually. The results show that the behaviour for small times is as if an image source were present above the surface. Asymptotic results indicate that, in both cases, the flow rapidly develops an effective image sink above the free surface.
Funding
Australian Research Council
History
Publication title
Journal of Engineering MathematicsVolume
61Pagination
55-68ISSN
0022-0833Department/School
School of Natural SciencesPublisher
SpringerPlace of publication
Dordrecht, NetherlandsRights statement
The original publication is available at www.springerlink.comRepository Status
- Restricted